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The sum of an infinite G.P. is 4 and the...

The sum of an infinite G.P. is 4 and the sum of their cubes is 192. Find the first term :

A

4

B

8

C

6

D

2

Text Solution

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The correct Answer is:
C
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QUANTUM CAT-SEQUENCE, SERIES & PROGRESSIONS-QUESTION BANK
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  2. In an A.P. consisting of 23 terms , the sum of the three terms in the ...

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  3. The sum of an infinite G.P. is 4 and the sum of their cubes is 192. Fi...

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  4. Vibhor joined as an area manager of Quick Corporation in the pay scale...

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  5. How many terms are common in two arithmetic progression 1,4,7,10,… upt...

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  6. The value of 3^(1//3) . 9^(1//18) . 27^(1//81) …. ∞

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  7. The sum of n terms of the series 1+(1+3)+(1+3+5)+ . . ., is

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  8. The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5...

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  9. If x, y ,z are in G.P. and a^x = b^y = c^z , then :

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  10. The sum of integers from 113 to 113113 which are divisible by 7 is :

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  11. The sum of n terms of a progression is 3n^2 + 5 . The number of terms ...

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  12. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  13. The sum of first n terms of the series 1/2 + 3/4 + 7/8 + (15)/(16) + …...

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  14. The sum of all 4 digit numbers which divided by 4 leave the remainder ...

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  15. If n arithmetic means are inserted between two quantities a and b , th...

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  16. The product of n geometric means between two given numbers a and b is ...

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  17. If a1 , a2 , a3 , … is an A.P. such that a1 , a5 , a(10) , a(15) , ...

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  18. The sum of n terms of the series , where n is an even number 1^2 - 2...

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  19. underset("n-digit")ubrace((666…6)) + underset("n-digit")ubrace((888…8)...

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  20. The cubes of the natural numbers are grouped as 1^3 , (2^3, 3^3) , (4^...

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